To become turned up or to flip over (an edge or surface); to ride up or be lifted, often by wind or movement.
袖がめくれて腕が見えているよ。
Your sleeve is rolled up and your arm is showing.
風でチラシがめくれて、広告の裏が見えた。
The flyer flipped over in the wind and I could see the back of the ad.
カーペットが端でまくれていて、つまずきそうになった。
The carpet was turned up at the edge and I almost tripped.